Friday

August 22, 2014

August 22, 2014

Posted by **Anonymous** on Friday, February 25, 2011 at 2:06pm.

dy/dx=secxtanx-e^x

- calculus -
**MathMate**, Friday, February 25, 2011 at 2:18pmThe equation is separable, meaning that we can put x and y on each side of the equal sign.

dy/dx=secxtanx-e^x

=>

dy = (sec(x)tan(x) - e^x)dx

Integrate both sides:

∫dy = ∫(sec(x)tan(x) - e^x)dx

=>

y = sec(x)-e^x + C

where C is an integration constant.

differentiate the above solution to confirm that the solution is correct.

**Related Questions**

calculus-differential equation - Consider the differential equation: (du/dt)=-u^...

calculus - verify that y=c/x^2 is a general solution of the differential ...

calculus differential equation - Find in implicit form the general solution of ...

calculus differential equation - Find in implicit form the general solution of ...

calculus - Find the general solution to the differential equation: yy’ – x2 = 3...

Calculus - Find a general solution to each first ¨C degree ordinary differential...

Calculus-HELP!!! - Find a general solution to the first – degree ordinary ...

Ap Calculus - Ok, I've been doing BC review tests to prepare for the AP exam. I ...

calculus - Sorry to post this again, but I am still unable to understand it and ...

calculus - consider the differential equation dy/dx= (y - 1)/ x squared where x ...